Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10488c |
Isogeny class |
Conductor |
10488 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64032 |
Modular degree for the optimal curve |
Δ |
-969259008 = -1 · 211 · 3 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-496304,-134742240] |
[a1,a2,a3,a4,a6] |
j |
-6601429068458128994/473271 |
j-invariant |
L |
0.2698073627673 |
L(r)(E,1)/r! |
Ω |
0.089935787589101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20976a1 83904c1 31464e1 |
Quadratic twists by: -4 8 -3 |